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One-particle-exchange model for low-energy scattering II. The many-channel problem

✍ Scribed by L Bányai; V Rittenberg

Publisher
Elsevier Science
Year
1968
Tongue
English
Weight
659 KB
Volume
46
Category
Article
ISSN
0003-4916

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✦ Synopsis

The procedure developed in the preceding paper to determine low energy scattering amplitudes in the one-channel case, is extended to the many-channel case. Methods of succesive approximations may be again formulated. Bootstrap equations are derived from self-consistency requirements, which may be interpreted as either imposing approximate unitary to crossing symmetrical amplitudes or imposing approximate crossing symmetry to unitary amplitudes.

As a byproduct some general properties of the scattering amplitudes in the manychannel scattering problem are obtained.

📜 SIMILAR VOLUMES

One particle exchange model for low-ener
One particle exchange model for low-energy scattering II. The many-channel problem: L. Banyai and V. Rittenberg. Institute of Physics of the Academy, Bucharest, Romania
📂 Article 📅 1968 🏛 Elsevier Science 🌐 English ⚖ 82 KB

The principles on which the two-particle convolution hyper-netted chain approximation of classical statistical mechanics is based, namely summation over a specified class of Yvon-Mayer diagrams and use of a variational principle, are used to derive a three-particle approximation. This approximation

One-particle exchange model for low-ener
One-particle exchange model for low-energy-scattering I. The one-channel-problem: L. Banyai and V. Rittenberg. Institute of Physics of the Academy, Bucharest, Romania
📂 Article 📅 1968 🏛 Elsevier Science 🌐 English ⚖ 82 KB

The principles on which the two-particle convolution hyper-netted chain approximation of classical statistical mechanics is based, namely summation over a specified class of Yvon-Mayer diagrams and use of a variational principle, are used to derive a three-particle approximation. This approximation